Free Grade 3 Determinants in Context Worksheets
Free Grade 3 worksheets for Determinants in Context: 12 real questions with a full answer key and worked solutions. A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
Free
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain determinants in context
Explain determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate determinants in context
Calculate determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare determinants in context
Compare determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify determinants in context
Justify determinants in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Determinants in Context works
A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify the ratio 24:24.[1]
- 2.Simplify the ratio 18:30.[1]
- 3.Simplify the ratio 48:60.[1]
- 4.Simplify the ratio 40:40.[1]
- 5.Share 40 in the ratio 4:1.[2]
- 6.Share 80 in the ratio 5:5.[2]
- 7.Share 120 in the ratio 5:5.[2]
- 8.Share 10 in the ratio 3:2.[2]
- 9.Share 24 in the ratio 2:1.[3]
- 10.Share 33 in the ratio 4:7.[3]
- 11.Share 12 in the ratio 3:1.[3]
- 12.Share 60 in the ratio 3:7.[3]
Show answers and working
1. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
2. 3:5
HCF of 18 and 30 is 6. Divide both parts by it: 3:5.
3. 4:5
HCF of 48 and 60 is 12. Divide both parts by it: 4:5.
4. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
5. 32 and 8
Total parts: 4 + 1 = 5. One part: 40 ÷ 5 = 8. 4 × 8 = 32, 1 × 8 = 8.
6. 40 and 40
Total parts: 5 + 5 = 10. One part: 80 ÷ 10 = 8. 5 × 8 = 40, 5 × 8 = 40.
7. 60 and 60
Total parts: 5 + 5 = 10. One part: 120 ÷ 10 = 12. 5 × 12 = 60, 5 × 12 = 60.
8. 6 and 4
Total parts: 3 + 2 = 5. One part: 10 ÷ 5 = 2. 3 × 2 = 6, 2 × 2 = 4.
9. 16 and 8
Total parts: 2 + 1 = 3. One part: 24 ÷ 3 = 8. 2 × 8 = 16, 1 × 8 = 8.
10. 12 and 21
Total parts: 4 + 7 = 11. One part: 33 ÷ 11 = 3. 4 × 3 = 12, 7 × 3 = 21.
11. 9 and 3
Total parts: 3 + 1 = 4. One part: 12 ÷ 4 = 3. 3 × 3 = 9, 1 × 3 = 3.
12. 18 and 42
Total parts: 3 + 7 = 10. One part: 60 ÷ 10 = 6. 3 × 6 = 18, 7 × 6 = 42.
Worked examples
Simplify the ratio 20:8.
- HCF of 20 and 8 is 4.
- Divide both parts by it: 5:2.
- Answer: 5:2
Share 63 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 63 ÷ 9 = 7.
- 4 × 7 = 28, 5 × 7 = 35.
- Answer: 28 and 35
Share 96 in the ratio 5:7.
- Total parts: 5 + 7 = 12.
- One part: 96 ÷ 12 = 8.
- 5 × 8 = 40, 7 × 8 = 56.
- Answer: 40 and 56
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides the total by the ratio numbers directly.
Correction: Add the parts first to find what one part is worth.
Writes the ratio in the wrong order.
Correction: Keep the order the question uses.
Teacher tips
- · Use bar models with equal-sized boxes for each part.
Parent tips
- · Make squash in a 1:4 ratio.
Real-life applications
- · Mixing paint or squash, scaling recipes.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Determinants in Context worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Determinants, Introducing Determinants, Identity Matrix. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Determinants in Context?
- Move on to Matrix Addition, Matrix Multiplication, Identity Matrix, Inverse Matrices, which build directly on this idea.
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